Suppose that every sentences are split with . and every paragraphs are split with \n. For example,
dummy <- c("first sentence. blablabla.
       first sentence2. blablablabblah.")
Then by using stringr::str_split,
sapply(str_split(dummy, "\n", simplify = TRUE), function(x) str_split(x, "\\.", simplify = T)[1])
You can get
          first sentence. blablabla.            first sentence2. blablablabblah. 
                    "first sentence"                "           first sentence2" 
If  your input is vector of paragraphs,
dummy <- c("first sentence. blablabla.","first sentence2. blablablabblah.")
sapply(dummy, function(x)str_split(x, "\\.", simplify = T)[1])
   first sentence. blablabla. first sentence2. blablablabblah. 
             "first sentence"                "first sentence2" 
Code for your text.
dummy <- c("Now, I truly understand that because it's an election season expectations for what we will achieve this year is really low. But, Mister Speaker, I appreciate the very constructive approach that you and other leaders took at the end of last year to pass a budget and make tax cuts permanent for working families." , "So I hope we can work together this year on some priorities like criminal justice reform.So, who knows, we might surprise the cynics again.")
lapply(dummy, function(x)str_split(x, "\\.", simplify = T)[1])
[[1]]
[1] "Now, I truly understand that because it's an election season expectations for what we will achieve this year is really low"
[[2]]
[1] "So I hope we can work together this year on some priorities like criminal justice reform"
unlist(lapply(dummy, function(x)str_split(x, "\\.", simplify = T)[1]))
[1] "Now, I truly understand that because it's an election season expectations for what we will achieve this year is really low"
[2] "So I hope we can work together this year on some priorities like criminal justice reform"